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1312368659712 = 28331123267487
BaseRepresentation
bin10011000110001111010…
…001001000110100000000
311122110110020011110122000
4103012033101020310000
5133000212334102322
62442521022544000
7163546501356645
oct23061721106400
94573406143560
101312368659712
11466632993310
12192419738000
13969a97494b6
144773a12ddcc
152420ec183ac
hex1318f448d00

1312368659712 has 864 divisors, whose sum is σ = 4501072450560. Its totient is φ = 373949706240.

The previous prime is 1312368659687. The next prime is 1312368659713. The reversal of 1312368659712 is 2179568632131.

It is a happy number.

1312368659712 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 36 + 8 + 6 + 597 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×13123686597122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312368659713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2694801933 + ... + 2694802419.

Almost surely, 21312368659712 is an apocalyptic number.

1312368659712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312368659712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250536225280).

1312368659712 is an abundant number, since it is smaller than the sum of its proper divisors (3188703790848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312368659712 is a wasteful number, since it uses less digits than its factorization.

1312368659712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 593 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 1312368659712 in words is "one trillion, three hundred twelve billion, three hundred sixty-eight million, six hundred fifty-nine thousand, seven hundred twelve".